Equations with No Solutions

This worksheet focuses on identifying and solving equations that have no solutions, a key concept in Grade 12 Algebra.

Grade 12 Math AlgebraEquations with No Solutions

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.REI.A.1CCSS.MATH.CONTENT.HSA.REI.B.3

7 sections · Free to use · Printable

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Read each question carefully and solve for the variable. If an equation has no solution, clearly state 'No Solution'. Show all your work.

1. Solve the following equation: 3(x + 2) = 3x + 7

2. Determine if the equation 5x - 8 = 5x + 2 has a solution. If so, find it. If not, explain why.

3. An equation has no solution when, after simplifying, you arrive at a statement.

4. When solving an equation, if the variables cancel out and the remaining numbers are not equal, the equation has .

5. Which of the following equations has no solution?

2x + 5 = 7

4x - 1 = 4x + 3

6x - 2 = 3(2x - 1)

x + 10 = 2x - 5

6. The equation 7x + 3 = 7x + 3 has no solution.

True

False

7. For what value of 'k' would the equation 2(x - 4) = 2x + k have no solution?

8. Create an equation with no solution that involves at least one fraction.